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Finding the Fourth Proportional to 51,121.50, 76,714.12 and 19,534.38

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Solution

The fourth proportional to 51,121.50, 76,714.12 and 19,534.38 is: 29,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.50 : 76,714.12 = 19,534.38 : x
  2. Step 2: Convert to fraction form
    51,121.50/76,714.12 = 19,534.38/x
  3. Step 3: Cross multiply
    51,121.50x = 76,714.12 × 19,534.38
  4. Step 4: Simplify right side
    51,121.50x = 1,498,562,771.45
  5. Step 5: Solve for x
    x = 1,498,562,771.45/51,121.50
  6. Step 6: Final answer
    x = 29,313.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.